A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion

✍ Scribed by Paul S. Addison; Bo Qu; Alistair Nisbet; Gareth Pender

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 464 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19971230)25:12<1373::aid-fld620>3.0.co;2-6

✦ Synopsis

The work is motivated by the recent discovery that ocean surface drifter trajectories contain fractal properties. This suggests that the dispersion of pollutants in coastal waters may also be described using fractal statistics. The paper describes the development of a fractional Brownian motion model for simulating pollutant dispersion using particle tracking. Numerical test cases are used to compare this new model with the results obtained from a traditional Gaussian particle-tracking model. The results seems to be signi®cantly different, which may have implications for pollution modelling in the coastal zone.